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Finding the Fourth Proportional to 5,490.49, 8,232.93 and 1,790.34

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Solution

The fourth proportional to 5,490.49, 8,232.93 and 1,790.34 is: 2,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.49 : 8,232.93 = 1,790.34 : x
  2. Step 2: Convert to fraction form
    5,490.49/8,232.93 = 1,790.34/x
  3. Step 3: Cross multiply
    5,490.49x = 8,232.93 × 1,790.34
  4. Step 4: Simplify right side
    5,490.49x = 14,739,743.90
  5. Step 5: Solve for x
    x = 14,739,743.90/5,490.49
  6. Step 6: Final answer
    x = 2,684.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.